Question

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Use the graphs of f(x) = 2/x and g(x) = 1/-3-x to determine the solutions to f(x) = g(x).

Answer 1

Answer: A) (-2, -1)

Explanation:

At which coordinate to the graphs intersect? (-2, -1)

We can check this by solving the f(x) = g(x)

`(2)/(x)=(1)/(-3-x)\\\\\\\text{Cross multiply}:\\2(-3-x)=1(x)\\\\\\\text{Distribute}:\\-6-2x=x\\\\\\\text{add 2x to both sides}:\\-6=3x\\\\\\\text{Divide both sides by 3}:\\-2 = x\\\\\\\text{Substitute x = -2 into either f(x) or g(x) to solve for y}:\\y=(2)/(x)=(2)/(-2)=-1\\\\\\\text{Solution of (-2, -1) is verified}\ \checkmark`